{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9318471337579618\n",
      "0.9201194475550578\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "\n",
    "# 节点个数： 20-210          默认：60      迭代：20 + cnt * 10\n",
    "# 源目对数： 10-200          默认：50      迭代：10 + cnt * 10\n",
    "# 阿尔法值： 0.35-1.3        默认：0.2     迭代：0.2 + cnt * 0.05\n",
    "# 初始光源： 5-43            默认：5       迭代：5 + cnt * 2\n",
    "\n",
    "data = [[29.046875, 46.25, 15.0, 13.125],[31.46875, 45.859375, 14.21875, 11.265625],[33.8125, 45.359375, 13.078125, 9.421875],[35.328125, 44.875, 12.484375, 8.3125],[37.421875, 44.171875, 11.328125, 7.15625],[38.34375, 43.390625, 10.953125, 6.34375],[39.890625, 43.578125, 10.1875, 5.59375],[40.96875, 43.5, 9.78125, 5.203125],[42.15625, 43.390625, 8.9375, 4.6875],[42.84375, 43.109375, 7.734375, 4.0625],[43.8125, 42.59375, 7.53125, 3.921875],[44.4375, 42.546875, 7.234375, 3.515625],[45.15625, 42.265625, 6.21875, 3.328125],[46.03125, 42.6875, 5.96875, 3.09375],[46.515625, 42.53125, 5.125, 2.765625],[47.09375, 42.171875, 4.796875, 2.531249997367009],[47.703125, 42.03125, 4.28125, 2.28125],[48.421875, 42.125, 3.875, 2.25],[48.78125, 42.03125, 3.375, 2.0],[49.0625, 41.859375, 3.34375, 1.90625]]\n",
    "\n",
    "print((49.0625 - 3.34375) / 49.0625)\n",
    "print((41.859375 - 3.34375) / 41.859375)\n",
    "\n",
    "data = list(map(list, zip(*data)))\n",
    "\n",
    "x_arr = [0.2 + round_idx * 0.05 for round_idx in range(len(data[0]))]\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(x_arr, data[0], label='RAS', marker='p')\n",
    "plt.plot(x_arr, data[1], label='SPS', marker='o')\n",
    "plt.plot(x_arr, data[2], label='RPSP-APSP', marker='s')\n",
    "plt.plot(x_arr, data[3], label='RPSP-ILP', marker='^')\n",
    "\n",
    "plt.xlabel(['Number of Nodes','Number of QKD Request','Network Connectivity','Number of PS nodes at the beginning'][2])\n",
    "plt.ylabel('Number of PSes to be added')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(f\"var_alpha.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "xs",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
